3464483616 has 288 divisors, whose sum is σ = 11475878400. Its totient is φ = 1015027200.

The previous prime is 3464483609. The next prime is 3464483651. The reversal of 3464483616 is 6163844643.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3240330 + ... + 3241398.

It is an arithmetic number, because the mean of its divisors is an integer number (39846800).

Almost surely, 2^3464483616 is an apocalyptic number.

3464483616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3464483616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5737939200).

3464483616 is an abundant number, since it is smaller than the sum of its proper divisors (8011394784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3464483616 is a wasteful number, since it uses less digits than its factorization.

3464483616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1116 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 3464483616 is about 58859.8642200269. The cubic root of 3464483616 is about 1513.1413654604.

The spelling of 3464483616 in words is "three billion, four hundred sixty-four million, four hundred eighty-three thousand, six hundred sixteen".